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Math·Geometry and Trigonometry·Area and volume

hard

The figure shown is a right circular cylinder with a radius of $r$ and height of $h$. A second right circular cylinder (not shown) has a volume that is 576 times as large as the volume of the cylinder shown. Which of the following could represent the radius $R$, in terms of $r$, and the height $H$, in terms of $h$, of the second cylinder?

A

$R=9r$ and $H=8h$

B

$R=9r$ and $H=64h$

C

$R=8r$ and $H=9h$

D

$R=64r$ and $H=9h$